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Effective Interactions in Jellium Including Exchange
Author(s) -
Brosens F.,
Devreese J. T.
Publication year - 1982
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221110142
Subject(s) - jellium , electron , homogeneous , physics , limit (mathematics) , fermi gas , local field , dielectric response , dynamical mean field theory , dielectric , charge (physics) , condensed matter physics , statistical physics , quantum mechanics , quantum electrodynamics , mathematics , mathematical analysis
Explicit calculations are presented for the effective interactions in the homogeneous electron gas between two test charges, between an electron and a test charge, and between two electrons. The calculations are performed in the local approximation using existing theories for treating dynamical exchange effects in the dielectric response. The relation between these different approaches is discussed. The most remarkable result is that two recent dynamical local‐field corrections in the static limit give rise to an attractive effective electron–electron potential near q = 2 k F , without the intervention of phonons.